mesh into smaller triangles

Hi;

I'm having a tough time with my problem at the moment and I'm hoping anyone on here can help. I have a mesh that is made up of two triangles (see below):

I want to be able to split these triangles down into smaller triangles so that I can begin to play around with them. I'm working with a c# script, any help would be greatly appreciated. Thank you

(code below)

 using UnityEngine;
 using System.Collections;
 
 public class CreatePlaneMesh : MonoBehaviour {
 
     public float width = 50f; //width of terrain
     public float height = 50f; //height of terrain
 
     public Material mat; // material variable
 
     // Use this for initialization
     void Start () {
         gameObject.AddComponent<MeshFilter>(); //add mesh filter to the gameobject (empty in this case)
         MeshFilter mf = GetComponent<MeshFilter>(); //assign meshfilter to the 'mf' meshfilter variable
         Mesh mesh = new Mesh(); //create a new mesh object
         mf.mesh = mesh; //assign mesh to the 'mf' meshfilter variable
 
 
 
         //vertices
         Vector3[] vertices = new Vector3[4]; //create 4 slots to store vectors to create plane - local space
 
         /**     MESH
         //
         //   v[2] v[3]
         //    |\   |
         //    | \  |
         //    |  \ |  
         //   v[0] v[1]
         **/
 
         vertices[0] = new Vector3 (width, 0, 0); //bottom left
         vertices[1] = new Vector3 (width, 0, height); //bottom right
         vertices[2] = new Vector3 (0, 0, height); //top left
         vertices[3] = new Vector3 (0, 0, 0); //top right
 
         mesh.vertices = vertices;
 
         //get all vertex positions of the mesh object
         mesh = GetComponent<MeshFilter>().mesh;
         Vector3[] v = mesh.vertices;
         int i = 0; while (i < v.Length){ //while loop to go through vertex positions and store then in the 'v' vector3 array
             v[i]+= Vector3.up * Time.deltaTime; //same as v(0,1,0) - go along edges of mesh and mine position co-ordinates;
             i++;
         }
 
         //convert local positions to in-game(world) positions
         Vector3[] worldPOS = new Vector3[vertices.Length]; for(int j=0; j < vertices.Length; j++) {worldPOS[j] = transform.TransformPoint(vertices[j]);}
 
 
         mesh.vertices = vertices; //assign vertices to mesh variable
         mesh.RecalculateBounds(); //verify all is okay to auto-calculate bounds of the mesh from the vertices
         //
 
         int[] indices = new int[6]; //create boxes to store indices values
 
         /**    TRIANGLES TO FORM MESH
         //
         //    0----1        * NOTE. (T1) indices[0]+indices[1]+indices[2] -> triangle on bottom left
         //    |\ T2|                (T2) indices[3]+indices[4]+indices[5] -> triangle on top right
         //    | \  |
         //    |T1\ |  
         //    3---\2
         **/
 
         indices[0] = 0; indices[1] = 3; indices[2] = 2; //one triangle
         indices[3] = 0; indices[4] = 2; indices[5] = 1; //other triangle
 
         mesh.SetIndices(indices, MeshTopology.Triangles, 0); //squish triangles together to form a plane like mesh
 
         gameObject.AddComponent<MeshRenderer>(); //add meshrenderer object to the empty game object
         MeshRenderer mr = GetComponent<MeshRenderer>(); //assign meshrenderer object to the 'mr' variable
         mr.material.color = Color.green; //set the colour of the 'mr' meshrenderer 
         mesh.RecalculateNormals(); //verify all is okay to output to the screen
 
 
     }
 
 }